Semi Cotangent Demette F NF 2 cc 1 - c^ h Yapısına Göre Tachibana Operatörleri ve İntegrallenebilme Şartları
Öz
Bu çalışmanın temel amacı Ftensörlerini hesaplayarak integrallenebilme şartlarını bulmak ve t* Mn semi cotangent demeti içerisinde FccX ve vvw ye uygulanan Tachibana operatörlerinin sonuçlarını göstermektir
Anahtar Kelimeler
Almost kompleks yapı Komple lift Integrallenebilme şartları Semi cotangent demet Tachibana operatörü
Kaynakça
- Husemöller, D. 1994. Fibre Bundles. New York, NY, USA, Springer. 353 pp.
- Lawson, HB., Michelsohn, ML. 1989. Spin Geometry, Princeton, NJ, USA, Princeton Univ. Press, 440 pp.
- Ostianu, NM. 1974. Step-fibred spaces, Tr. Geom. Sem. 5, Moscow. (VINITI), 259-309.
- Pontryagin, LS. 1962. Characteristic classes of differentiable manifolds, Trans. Amer. Math. Soc., 7: 279-331.
- Poor, WA. 1981. Differential Geometric Structures, New York, McGraw-Hill, 352 pp.
- Salimov, AA. 2013. Tensor Operators and Their applications, Nova Sci. Publ., New York, 186 pp .
- Salimov, AA., Çayır, H. 2013. Some Notes On Almost Paracontact Structures, C. R. de 1’ Aced. Bulg. Des Sci., 66(3): 331-338.
- Steenrod, N. 1951. The Topology of Fibre Bundles, Princeton, NJ, USA, Princeton Univ. Press, 224 pp.
- Yano, K., Ishihara, S. 1973. Tangent and Cotangent Bundles, Marcel Dekker Inc., New York, 419 pp.
- Yıldırım, F. 2015. On a Special Class of Semi-Cotangent Bundle, Proc. of the Inst. Math. Mech., 41(1): 25-38.
- Yıldırım, F., Salimov, AA. 2014. Semi-cotangent bundle and problems of lifts, Turk. J. Math., 38: 325-339.
Integrability Conditions and Tachibana Operators According to F NF 2 cc 1 - c^ h on Semi Cotangent Bundle t * Mn
Öz
The main aim of this paper is to find integrability conditions by calculating Nijenhuis Tensors N ^{cc}X,^{cc}Y , N ^{cc}X,^{vv}ω , N ^{vv}ω,^{vv}θ of almost complex structure ^{cc}F- 1/2 γ NF and to show the results of Tachibana operators applied ^{cc}X and ^{vv}ω according to the structure ^{cc}F- 1/2 γ NF in semi cotangent bundle t^{∗} M_{n} .
Anahtar Kelimeler
Integrability Conditions Tachibana Operators Complete Lift Vertical Lift Almost Complex Structure Semi Cotangent Bundle
Kaynakça
- Husemöller, D. 1994. Fibre Bundles. New York, NY, USA, Springer. 353 pp.
- Lawson, HB., Michelsohn, ML. 1989. Spin Geometry, Princeton, NJ, USA, Princeton Univ. Press, 440 pp.
- Ostianu, NM. 1974. Step-fibred spaces, Tr. Geom. Sem. 5, Moscow. (VINITI), 259-309.
- Pontryagin, LS. 1962. Characteristic classes of differentiable manifolds, Trans. Amer. Math. Soc., 7: 279-331.
- Poor, WA. 1981. Differential Geometric Structures, New York, McGraw-Hill, 352 pp.
- Salimov, AA. 2013. Tensor Operators and Their applications, Nova Sci. Publ., New York, 186 pp .
- Salimov, AA., Çayır, H. 2013. Some Notes On Almost Paracontact Structures, C. R. de 1’ Aced. Bulg. Des Sci., 66(3): 331-338.
- Steenrod, N. 1951. The Topology of Fibre Bundles, Princeton, NJ, USA, Princeton Univ. Press, 224 pp.
- Yano, K., Ishihara, S. 1973. Tangent and Cotangent Bundles, Marcel Dekker Inc., New York, 419 pp.
- Yıldırım, F. 2015. On a Special Class of Semi-Cotangent Bundle, Proc. of the Inst. Math. Mech., 41(1): 25-38.
- Yıldırım, F., Salimov, AA. 2014. Semi-cotangent bundle and problems of lifts, Turk. J. Math., 38: 325-339.
Ayrıntılar
| Birincil Dil | Türkçe |
|---|---|
| Bölüm | Research Article |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Ocak 2017 |
| Yayımlandığı Sayı | Yıl 2017 Cilt: 7 Sayı: 1 |